/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: g(A()) -> A()
    2: g(B()) -> A()
    3: g(B()) -> B()
    4: g(C()) -> A()
    5: g(C()) -> B()
    6: g(C()) -> C()
    7: foldB(t,0()) -> t
    8: foldB(t,s(n)) -> f(foldB(t,n),B())
    9: foldC(t,0()) -> t
    10: foldC(t,s(n)) -> f(foldC(t,n),C())
    11: f(t,x) -> f'(t,g(x))
    12: f'(triple(a,b,c),C()) -> triple(a,b,s(c))
    13: f'(triple(a,b,c),B()) -> f(triple(a,b,c),A())
    14: f'(triple(a,b,c),A()) -> f''(foldB(triple(s(a),0(),c),b))
    15: f''(triple(a,b,c)) -> foldC(triple(a,b,0()),c)
    16: fold(t,x,0()) -> t
    17: fold(t,x,s(n)) -> f(fold(t,x,n),x)
Number of strict rules: 17
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #f'(triple(a,b,c),B()) -> #f(triple(a,b,c),A())
   #2: #f(t,x) -> #f'(t,g(x))
   #3: #f(t,x) -> #g(x)
   #4: #f'(triple(a,b,c),A()) -> #f''(foldB(triple(s(a),0(),c),b))
   #5: #f'(triple(a,b,c),A()) -> #foldB(triple(s(a),0(),c),b)
   #6: #foldC(t,s(n)) -> #f(foldC(t,n),C())
   #7: #foldC(t,s(n)) -> #foldC(t,n)
   #8: #fold(t,x,s(n)) -> #f(fold(t,x,n),x)
   #9: #fold(t,x,s(n)) -> #fold(t,x,n)
   #10: #foldB(t,s(n)) -> #f(foldB(t,n),B())
   #11: #foldB(t,s(n)) -> #foldB(t,n)
   #12: #f''(triple(a,b,c)) -> #foldC(triple(a,b,0()),c)
Number of SCCs: 2, DPs: 10
  SCC { #9 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #foldC	w: 0
      #f'	w: 0
      triple	w: 0
      C 	w: 0
      f 	w: 0
      B 	w: 0
      foldB	w: 0
      #fold	w: x3
      0 	w: 0
      #foldB	w: 0
      A 	w: 0
      #f 	w: 0
      #g 	w: 0
      fold	w: 0
      f'	w: 0
      foldC	w: 0
      g 	w: 0
      f''	w: 0
      #f''	w: 0
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 1, DPs: 9
  SCC { #1 #2 #4..7 #10..12 }
POLO(Sum)... succeeded.
      s 	w: x1 + 5
      #foldC	w: x1 + x2
      #f'	w: x1 + 3
      triple	w: x2 + x3 + 2
      C 	w: 2
      f 	w: x1 + 5
      B 	w: 2
      foldB	w: x1 + x2 + 1
      #fold	w: 0
      0 	w: 0
      #foldB	w: x1 + x2 + 2
      A 	w: 2
      #f 	w: x1 + 3
      #g 	w: 0
      fold	w: 0
      f'	w: x1 + 5
      foldC	w: x1 + x2 + 1
      g 	w: 1
      f''	w: x1 + 4
      #f''	w: x1 + 1
    USABLE RULES: { 7..15 }
    Removed DPs: #4..7 #10..12
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      s 	w: 1
      #foldC	w: 0
      #f'	w: x2 + 3
      triple	w: 4
      C 	w: 3
      f 	w: x1 + 2
      B 	w: 4
      foldB	w: x1 + x2 + 1
      #fold	w: 0
      0 	w: 0
      #foldB	w: 2
      A 	w: 1
      #f 	w: x2 + 5
      #g 	w: 0
      fold	w: 0
      f'	w: 3
      foldC	w: x2 + 1
      g 	w: x1 + 1
      f''	w: 0
      #f''	w: 1
    USABLE RULES: { 1..6 }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0